Michelle Schatzman

Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials (2009)

Khalil, Houssam, Mourrain, Bernard, Schatzman, Michelle

In this paper, we re-investigate the resolution of Toeplitz systems $T u =g$, from a new point of view, by correlating the solution of such problems with syzygies of polynomials or moving lines. We...

Approximate conditions replacing thin layers (2008)

Poignard, Clair, Dular, Patrick, Perrussel, Ronan, Krähenbühl, Laurent, Nicolas, Laurent, Schatzman, Michelle

We provide a rigorous asymptotic method to build approximate conditions equivalent to a thin layer. With these conditions the electromagnetic field may be computed in domains such as a biological...

Approximate conditions replacing thin layers (2008)

Poignard, Clair, Dular, Patrick, Perrussel, Ronan, Krähenbühl, Laurent, Nicolas, Laurent, Schatzman, Michelle

We provide a rigorous asymptotic method to build approximate conditions equivalent to a thin layer. With these conditions the electromagnetic field may be computed in domains such as a biological...

Approximate conditions replacing thin layers (2007)

Poignard, Clair, Dular, Patrick, Perrussel, Ronan, Krähenbühl, Laurent, Nicolas, Laurent, Schatzman, Michelle

We provide a rigorous asymptotic method to build approximate conditions equivalent to a thin layer. With these conditions the electromagnetic field may be computed in domains such as a biological...

Approximate conditions replacing thin layers (2007)

Poignard, Clair, Dular, Patrick, Perrussel, Ronan, Krähenbühl, Laurent, Nicolas, Laurent, Schatzman, Michelle

We provide a rigorous asymptotic method to build approximate conditions equivalent to a thin layer. With these conditions the electromagnetic field may be computed in domains such as a biological...

Approximate conditions replacing thin layers (2007)

Poignard, Clair, Dular, Patrick, Perrussel, Ronan, Krähenbühl, Laurent, Nicolas, Laurent, Schatzman, Michelle

We provide a rigorous asymptotic method to build approximate conditions equivalent to a thin layer. With these conditions the electromagnetic field may be computed in domains such as a biological...

Penalty approximation for non smooth constraints in vibroimpact (2007)

Paoli, Laetitia, Schatzman, Michelle

We examine the penalty approximation of the free motion of a material point in an angular domain; we choose an over-damped penalty, and we prove that if the first impact point is not at the vertex,...

Asymptotics Methods to Compute Electromagnetic Fields (2007)

Poignard, Clair, Dular, Patrick, Krähenbühl, Laurent, Nicolas, Laurent, Schatzman, Michelle

We provide a rigorous asymptotic method to compute the electromagnetic _elds in domains with thin layer. With this method the in_uency of the membrane on the inner _eld is replaced by an approximated...

Asymptotics Methods to Compute Electromagnetic Fields (2007)

Poignard, Clair, Dular, Patrick, Krähenbühl, Laurent, Nicolas, Laurent, Schatzman, Michelle

We provide a rigorous asymptotic method to compute the electromagnetic _elds in domains with thin layer. With this method the in_uency of the membrane on the inner _eld is replaced by an approximated...

Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials. (2007)

Khalil, Houssam, Mourrain, Bernard, Schatzman, Michelle

In this paper, we re-investigate the resolution of Toeplitz systems $T\, u =g$, from a new point of view, by correlating the solution of such problems with syzygies of polynomials or moving lines. We...

Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials. (2007)

Khalil, Houssam, Mourrain, Bernard, Schatzman, Michelle

In this paper, we re-investigate the resolution of Toeplitz systems $T\, u =g$, from a new point of view, by correlating the solution of such problems with syzygies of polynomials or moving lines. We...

Algebraic Multilevel Methods for Edge Elements (2006)

Perrussel, Ronan, Nicolas, Laurent, Musy, François, Krähenbühl, Laurent, Schatzman, Michelle, Poignard, Clair

An algebraic multilevel method is proposed for the resolution of linear systems coming from an edge-element discretization of EM models. Graph-flow problems are introduced to ensure a natural...

Algebraic Multilevel Methods for Edge Elements (2006)

Perrussel, Ronan, Nicolas, Laurent, Musy, François, Krähenbühl, Laurent, Schatzman, Michelle, Poignard, Clair

An algebraic multilevel method is proposed for the resolution of linear systems coming from an edge-element discretization of EM models. Graph-flow problems are introduced to ensure a natural...

Méthodes asymptotiques pour le calcul de champs (2006)

Poignard, Clair, Dular, Patrick, Krähenbühl, Laurent, Nicolas, Laurent, Schatzman, Michelle

Nous présentons une méthode asymptotique mathématiquement justifiée permettant le calcul du champ électrique dans un milieu avec une membrane. Cette méthode nous évite de mailler la membrane....

Méthodes asymptotiques pour le calcul de champs (2006)

Poignard, Clair, Dular, Patrick, Krähenbühl, Laurent, Nicolas, Laurent, Schatzman, Michelle

Nous présentons une méthode asymptotique mathématiquement justifiée permettant le calcul du champ électrique dans un milieu avec une membrane. Cette méthode nous évite de mailler la membrane....

Penalty approximation for non smooth constraints in vibroimpact (2000)

Paoli, Laetitia, Schatzman, Michelle

We examine the penalty approximation of the free motion of a material point in an angular domain; we choose an over-damped penalty, and we prove that if the first impact point is not at the vertex,...

A numerical scheme for impact problems (1999)

Paoli, Laetitia, Schatzman, Michelle

We consider a mechanical system with impact and n degrees of freedom, written in generalized coordinates. The system is not necessarily Lagrangian. The representative point of the system must remain...

The Thual-Fauve pulse: skew stabilization (1999)

De Mottoni, Piero, Schatzman, Michelle

It is possible to choose the parameters of a real quintic Ginzburg-Landau equation so that it possesses localized pulse-like solutions; Thual and Fauve have observed numerically that these pulses are...